%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN282-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:17:07 AM UTC 2026
% Result : Unsatisfiable 70.89s 24.72s
% Output : Refutation 70.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 11 ~; 8 |; 0 &; 28 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(q1_decl,type,
q1: $i > $i > $i > $o ).
thf(d_decl,type,
d: $i ).
thf(e_decl,type,
e: $i ).
thf(s0_decl,type,
s0: $i > $o ).
thf(k0_decl,type,
k0: $i > $o ).
thf(320,axiom,
( ~ ( d @ s0 )
| ~ ( e @ k0 )
| ( d @ ( d @ ( d @ q1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_117) ).
thf(972,plain,
( ~ ( d @ s0 )
| ~ ( e @ k0 )
| ( d @ ( d @ ( d @ q1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(973,plain,
( ~ ( d @ s0 )
| ~ ( e @ k0 )
| ( d @ ( d @ ( d @ q1 ) ) ) ),
inference(cnf,[status(esa)],[972]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
~ ( B @ ( d @ ( A @ q1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(368,plain,
! [B: $i,A: $i] :
~ ( B @ ( d @ ( A @ q1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(369,plain,
! [B: $i,A: $i] :
~ ( B @ ( d @ ( A @ q1 ) ) ),
inference(polarity_switch,[status(thm)],[368]) ).
thf(111,axiom,
e @ k0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(578,plain,
e @ k0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(327,axiom,
d @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(984,plain,
d @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(14901,plain,
( ~ $true
| ~ $true
| $false ),
inference(rewrite,[status(thm)],[973,369,578,984]) ).
thf(14902,plain,
$false,
inference(simp,[status(thm)],[14901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN282-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 17:29:59 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.89/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.54/1.29 % [INFO] Parsing done (316ms).
% 2.04/1.31 % [INFO] Running in sequential loop mode.
% 2.75/1.72 % [INFO] eprover registered as external prover.
% 2.75/1.73 % [INFO] Scanning for conjecture ...
% 2.95/1.88 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.60/2.05 % [INFO] Axiom selection finished. Selected 366 axioms (removed 2 axioms).
% 4.27/2.24 % [INFO] Problem is propositional (TPTP CNF).
% 4.27/2.25 % [INFO] Type checking passed.
% 4.27/2.26 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 70.89/24.71 % [INFO] Killing All external provers ...
% 70.89/24.71 % Time passed: 24184ms (effective reasoning time: 23396ms)
% 70.89/24.72 % Axioms used in derivation (3): rule_117, axiom_28, axiom_1
% 70.89/24.72 % No. of inferences in proof: 12
% 70.89/24.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 24184 ms resp. 23396 ms w/o parsing
% 70.89/24.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 70.89/24.74 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------